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Classical density functional theory is applied to investigate the validity of a phenomenological force-balance description of the stability of the Cassie state of liquids on substrates with nanoscale corrugation. A bulk free-energy…

The study of wetting phenomena is of great interest due to the multifaceted technological applications of hydrophobic and hydrophilic surfaces. The theoretical approaches proposed by Wenzel and later by Cassie and Baxter to describe the…

Soft Condensed Matter · Physics 2021-10-15 Marion Silvestrini , Antonio Tinti , Alberto Giacomello , Carolina Brito

The understanding of the spreading of liquids on solid surfaces is an important challenge for contemporary physics. Today, the motion of the contact line formed at the intersection of two immiscible fluids and a solid is still subject to…

Classical Physics · Physics 2009-11-13 Henri Gouin

We investigate theoretically the possibility of a wetting transition induced by geometric roughness of a solid substrate for the case where the flat substrate does not show a wetting layer. Our approach makes use of a novel closed-form…

Soft Condensed Matter · Physics 2009-10-31 R. R. Netz , D. Andelman

We propose a simplified description of fluid adsorption on heterogenenous micropatterned substrates. Using this approach, we are able to rederive results obtained earlier using effective interfacial Hamiltonian methods and predict a number…

Condensed Matter · Physics 2009-11-07 C. Rascon , A. O. Parry

We consider theoretically the Cassie-Baxter and Wenzel states describing the wetting contact angles for rough substrates. More precisely, we consider different types of periodic geometries such as square protrusions and disks in 2D, grooves…

Soft Condensed Matter · Physics 2013-08-20 Joël De Coninck , François Dunlop , Thierry Huillet

Based on the thermodynamic variation, we rigorously derive the sharp-interface model for solid-state dewetting on a flat substrate in the form of cylindrical symmetry. The governing equations for the model belong to fourth-order geometric…

Materials Science · Physics 2018-05-22 Quan Zhao

The water-repellence properties of superhydrophobic surfaces make them promising for many applications. However, in some extreme environments, such as high humidities and low temperatures, condensation on the surface is inevitable, which…

Soft Condensed Matter · Physics 2026-02-03 Jiawang Cui , Tianyou Wang , Zhizhao Che

I use the method of classical density-functional theory in the weighted-density approximation of Tarazona to investigate the phase diagram and the interface structure of a two-dimensional lattice-gas model with three phases -- vapour,…

Statistical Mechanics · Physics 2009-11-10 S. Prestipino

Droplet coalescence is a common phenomenon and plays an important role in multi-disciplinary applications. Previous studies mainly consider the coalescence of miscible liquid, even though the coalescence of immiscible droplets on a solid…

Fluid Dynamics · Physics 2023-09-25 Huadan Xu , Xinjin Ge , Tianyou Wang , Zhizhao Che

An enhanced geometric algorithm for automated pore-by-pore contact angle measurement from micro-CT images, is presented that achieves superior accuracy compared to existing methods through robust fluid-fluid and solid-fluid interface…

Computational Engineering, Finance, and Science · Computer Science 2025-07-03 Faisal Aljaberi , Hadi Belhaj , Sajjad Foroughi , Mohammed Al-Kobaisi , Martin Blunt

Wetting is fundamental to many technological applications that involve the motion of the fluid-fluid interface on a solid. While static wetting is well understood in the context of thermodynamic equilibrium, dynamic wetting is more…

Fluid Dynamics · Physics 2021-08-16 Shahriar Afkhami

Patterning solid surfaces with varying wettability is important to manage droplets in microfluidics, heat transfer and printing. Solid surface roughness poses fundamental limitations including contact-line pinning and solid friction. Here,…

In this paper a model for partial melts is constructed using two-scale homogenization theory. While this technique is well known to the mathematics and materials communities, it is relatively novel to problems in the solid Earth. This…

Geophysics · Physics 2015-05-13 Gideon Simpson , Marc Spiegelman , Michael I. Weinstein

We develop a mesoscale computational model to describe the interaction of a droplet with a solid. The model is based on the hybrid combination of the immersed boundary and the lattice Boltzmann computational schemes: the former is used to…

We theoretically investigate the apparent contact angle and contact angle hysteresis of a droplet placed on a liquid infused surface. We show that the apparent contact angle is not uniquely defined by material parameters, but also has a…

Soft Condensed Matter · Physics 2016-05-24 Ciro Semprebon , Glen McHale , Halim Kusumaatmaja

The wetting dynamics of liquid particles, from coated droplets to soft capsules, holds significant technological interest. Motivated by the need to simulate liquid metal droplet with an oxidize surface layer, in this work we introduce a…

Fluid Dynamics · Physics 2024-02-14 Francesca Pelusi , Fabio Guglietta , Marcello Sega , Othmane Aouane , Jens Harting

We study minimal surfaces which arise in wetting and capillarity phenomena. Using conformal coordinates, we reduce the problem to a set of coupled boundary equations for the contact line of the fluid surface, and then derive simple…

High Energy Physics - Theory · Physics 2008-11-26 Constantin Bachas , Pierre Le Doussal , Kay Joerg Wiese

The classical wetting models, such as the Wenzel and Cassie-Baxter have been extensively used to quantify the wettability of laser-textured surfaces. However, these models do not provide any description of the corresponding droplet…

Fluid Dynamics · Physics 2022-04-05 Ilemona S. Omeje , Tatiana E. Itina

Surface roughness significantly modifies the liquid film thickness entrained when dip coating a solid surface, particularly at low coating velocity. Using a homogenization approach, we present a predictive model for determining the liquid…

Fluid Dynamics · Physics 2024-12-25 Lebo Molefe , Giuseppe A. Zampogna , John M. Kolinski , François Gallaire